Asymptotic behavior of solutions to the compressible Navier-Stokes equation in a cylindrical domain

zbMath1161.35038MaRDI QIDQ1001968

Takumi Nukumizu, Yoshiyuki Kagei

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708830

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (6)

Asymptotic behavior of solutions of the compressible Navier-Stokes equation around the plane Couette flow ⋮ Energy method in the partial Fourier space and application to stability problems in the half space ⋮ On some decay properties of Stokes semigroup of compressible viscous fluid flow in a 2-dimensional exterior domain ⋮ Large time behavior of solutions to the compressible Navier-Stokes equations around a parallel flow in a cylindrical domain ⋮ Large time behavior of the semigroup on \(L^p\) spaces associated with the linearized compressible Navier-Stokes equation in a cylindrical domain ⋮ The free boundary problem of American butterfly option

Cites Work

• Unnamed Item
• Some estimates of solutions for the equations of motion of compressible viscous fluid in the three-dimensional exterior domain
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Large time behavior of solutions to the compressible Navier-Stokes equation in an infinite layer
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
• Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in \(\mathbb{R}^3\)
• Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves
• On large-time behavior of solutions to the compressible Navier-Stokes equations in the half space in \(\mathbb R^3\)
• Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
• Asymptotic behavior of solutions of the compressible Navier-Stokes equations on the half-space
• Asymptotic behavior of the semigroup associated with the linearized compressible Navier-Stokes equation in an infinite layer
• Resolvent Estimates for the Linearized Compressible Navier-Stokes Equation in an Infinite Layer
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow

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